Composition laws on the Fricke surface and Markov triples
TURKISH JOURNAL OF MATHEMATICS, vol.46, no.3, pp.785-799, 2022 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 46 Issue: 3
- Publication Date: 2022
- Doi Number: 10.3906/mat-2111-38
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Page Numbers: pp.785-799
- Keywords: Fricke surface, Markov equation, Markov triples, group law on quadrics, Frobenius conjecture
- Galatasaray University Affiliated: Yes
Abstract
We determine some composition laws related to the Fricke surface and the "double" Fricke surface. This latter surface admits the squares of Markov triples as its solutions.